Soomieh Khaleghizadeh - Department of Management, Payame Noor University (PNU), P.O.Box۱۹۳۹۵-۴۶۹۷, Tehran, Iran.

In this paper, the researcher proved the best proximity point theorem for Suzuki type mappings in the setting of metric spaces endowed a graph. In particular, some earlier results in the literature on both best proximity theory and metric fixed point theory were enriched, extended, and at last generalized.

fixed point, Metric space, Best proximity point, Generalized \psi-Geraghty contractions